#### Li Yang, On perturbations of accretive operators in locally convex spaces, Vol. 2022 (2022), Article ID 22, pp. 1-8

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DOI: 10.23952/jnfa.2022.22

Received January 2, 2022; Accepted May 4, 2022; Published May 27, 2022

Abstract Let $E$ be a complete locally convex Hausdorff space, $A:D(A)\subset E\to E$ be an accretive operator satisfying the range condition, $T:D(T)\subset E\to E$ be a continuous compact mapping, and $p\in E$. In this paper, we prove the existence of solutions to the operator equation $p\in Ax+Tx$ and give a sufficient condition for the operator $A$ to satisfy the range condition.